20081128, 11:07  #1 
Mar 2006
Germany
2·1,489 Posts 
Most wanted
I post here some results in need to make the Database 'databaseable' :)
There're many remarks like (90 primes to 50k)' in there (see data for 10^9 at the end) and i filled them up from time to time on my own. Also there're many high weighted k's without any prime displayed for now So everyone is invited to resolve such remarks. 
20081128, 22:57  #2 
A Sunny Moo
Aug 2007
USA (GMT5)
1869_{16} Posts 
Knocked out one of these annoying little buggers (k=4259877765), which is listed as "91 primes 050K". I searched it for n=050K with LLR; I then reverified the primes with PFGW since LLR apparently had to do a PRP test for some of the lower ones. Many of them, apparently, were then subsequently proven by LLR, but since they're all very small anyway I figured I'd buzz them through PFGW to play things safe.
So, without further ado, here are the 91 primes for n=050K: 4, 6, 10, 15, 16, 24, 25, 32, 34, 37, 38, 47, 53, 54, 56, 64, 74, 85, 86, 90, 102, 105, 106, 110, 117, 119, 130, 137, 166, 168, 175, 185, 196, 205, 212, 310, 322, 363, 369, 389, 423, 482, 503, 506, 561, 593, 659, 715, 893, 1029, 1042, 1149, 1157, 1278, 1350, 1626, 1692, 1829, 1867, 1895, 2041, 2782, 2845, 2926, 3705, 3785, 3946, 4512, 4969, 5360, 5490, 6203, 6228, 6646, 7992, 8222, 8505, 13332, 14469, 14978, 16527, 16972, 20916, 21000, 21168, 24577, 28763, 28847, 29956, 48093, 49429 Last fiddled with by kar_bon on 20090519 at 22:15 Reason: changed primelisting 
20081129, 10:28  #3 
Just call me Henry
"David"
Sep 2007
Liverpool (GMT/BST)
7·857 Posts 
llr wont work if the k is larger than 2^n

20081129, 17:21  #4 
A Sunny Moo
Aug 2007
USA (GMT5)
3×2,083 Posts 
Yeah, I noticed some error messages to that effect. Example output:
Code:
max@max:/tmp$ ./llr d q4259877765*2^41 4259877765 > 2^4, so we can only do a PRP test for 4259877765*2^41. Starting probable prime test of 4259877765*2^41 Using generic reduction FFT length 32 4259877765*2^41 is a probable prime. Time : 0.769 ms. Code:
max@max:/tmp$ ./llr d q4259877765*2^1191 Starting probable prime test of 4259877765*2^1191 Using generic reduction FFT length 32 4259877765*2^1191 is a probable prime. Time : 0.352 ms. Please credit George Woltman's PRP for this result! Starting Lucas Lehmer Riesel prime test of 4259877765*2^1191 Using General Mode (Rational Base) : Mersenne fftlen = 32, Used fftlen = 32 V1 = 5 ; Computing U0...done. 4259877765*2^1191 is prime! Time : 0.314 ms. 
20081129, 17:26  #5  
Jun 2003
5,407 Posts 
Quote:
Quote:


20081129, 17:28  #6 
A Sunny Moo
Aug 2007
USA (GMT5)
3×2,083 Posts 

20081204, 10:05  #7 
May 2007
Kansas; USA
10110001111011_{2} Posts 
I always use PFGW for n<=1000. LLR used to have a bug where it would sometimes report primes as composites or visaversa on small n (even for k's that were not very large) and even for n>50 at times. There is an RPS thread about it. Presumably it has been fixed but it seems as though people keep finding another situation that wasn't considered and so it has been "fixed" several times.
Regardless of the size of k, I don't trust LLR for n<=1000 and so always use PFGW for it. PFGW seems to be able to handle about any size of k accurately. That is the safest way to go for very small primes. Gary Last fiddled with by gd_barnes on 20081204 at 10:06 
20090211, 10:36  #8 
Mar 2006
Germany
2×1,489 Posts 
the WINGUIVersion of LLR V3.7.1c (20081221) from J.Penne can be found here: http://jpenne.free.fr/
i've tested all primes from the Database for n=1 to 300k and no errors were found! i did this before and sent Jean some small issues about that and he updated his LLRVersion so all seems to be fine with small n or kvalues now! 
20090519, 15:29  #9 
Feb 2007
211 Posts 
Filling the GAPS for
Riesel list (k·2n1 prime) for 10^7 < k < 10^8 http://www.rieselprime.de/Data/10e07.htm Code:
K Highest N value 16545165 10k 29058315 10K 47912205 10K 19474455 50k 20934375 50K 24107655 50K 27114615 50K 28397655 50K 35900025 50K 44702775 50K 51010245 50K 78290355 50K 80555475 50K 96623835 50K Thanks cipher Last fiddled with by cipher on 20090519 at 15:29 
20090519, 17:23  #10 
Feb 2007
211 Posts 
COMPLETED
Code:
16545165 10k 29058315 10K 47912205 10K Attach with all the primes for all three K gapprime.txt I will post the results for remaining 11k's in 3 days. Correction 16545165 listed 62 primes for n <10k i only found 61 29058315 listed 60 primes for n <10k i only found 59 47912205 listed 61 primes for n <10k i only found 60 Thanks Cipher kar_bon: primes for these 3 k's inserted Last fiddled with by kar_bon on 20090519 at 22:17 Reason: merged two posts 
20090520, 11:39  #11 
Feb 2007
211 Posts 
One more K knocked out 50K, approx LLR time 4 hours, so the remaining 10 K will take approx 4044 hours of LLR i will submit them in 2 days. Primes found 89 just as it was reported originally.
Code:
3, 5, 9, 10, 11*, 14, 17*, 18, 27, 32, 35, 37, 51, 64, 68*, 89, 91, 100, 102, 113, 119, 145, 185, 200, 225, 230, 248, 286, 408, 492, 553, 554, 606, 613, 663, 673, 707, 718, 745, 781, 798, 844, 950, 963, 999, 1033, 1042, 1229, 1308, 1333, 1419, 1522, 1884, 2010, 2098, 2284, 2354, 3008, 3194, 3258, 3533, 3998, 4120, 4212, 4534, 4824, 5255, 6791, 7140, 7171, 7345, 8830, 9620, 10270, 11453, 12785, 13088, 15685, 16770, 17828, 20523, 20750, 23855, 33887, 40062, 41613, 41793, 44450, 49581 kar_bon: primelist changed, twins (*) marked, inserted in 10^7page Last fiddled with by kar_bon on 20090602 at 14:31 
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